Inauguration of Negative Power of – N of Kfilideen Trinomial Theorem Using Standardised and Matrix Methods

The positive power of Kifilideen trinomial theorem based on matrix and standardized approach had been developed and implemented alongside the general power combination formula which helps to determine the terms in the kifilideen expansion of positive power of n of trinomial expression. This study inaugurated negative power of − n of kifilideen trinomial theorem using standardized and matrix methods. Matrix was used in this research work to arrange the terms of the series of the negative power of the Kifilideen trinomial theorem. The general formula of the power combination of any term in the series was invented. The general formula to determine the term of a given power combination was also originated. It has been proving that the theorem and formulas generated are accurate, reliable, easy and interesting. The theorem helps in generating the terms of Kifilideen trinomial theorem of negative power of – n in an orderly form and makes it easy in obtaining the power combination that produce any given term and vice versa.